Dynamical Phenomena in Quantum Field Theory and String Theory

拟议研究的重点是了解一个广泛的类 强耦合规范理论中的动力学现象， 重力在规范理论方面，我感兴趣的问题是 非平衡态的制备;量子猝灭和 动力学演化中的熵产生; 热化的局部和非局部探测器; 量子场论中的一般态在重力方面， 对引力坍缩感兴趣，特别是 事件视界的形成;湍流是否起了作用 在地平线形成？另外，我一直对 在弦论中构建暴胀模型， 宇宙的起源看到这个，我特别激动 最近宣布的发现原始宇宙的实验 引力波 要想在这些基本问题中的任何一个方面取得进展， 一起：Maldacena的全息对应提供了一个映射 量子场论和引力问题之间的联系我相信 结合直觉和先前的研究， 理论物理学的不同子领域将导致进一步的 突破 把这个项目分成三部分是很自然的 次主题： 1)从热力学到流体力学再到非平衡规范 等离子理论 在这里，我打算继续发展的计划， 全息量子猝灭我一直积极参与在 过去三年。一个主要的努力是有关设计新的数字 能够解决淬火系统动力学的代码 没有均匀性和各向同性假设。我希望能阐明 远离平衡态熵的定义，详细描述 非平衡动力学的各种局部和非局部探测。我计划 在现实中进行“碰撞”模拟（限制） 全息规范/弦对应的模型。结果应 参与实验重离子的研究人员感兴趣 在RHIC和LHC上的计划。 2)引力坍缩、视界形成和湍流。 这里我 继续推进我的引力坍缩计划 渐近Ads 我希望回答的主要基本问题是 涉及对强耦合系统中的状态的约束， 尽管有相互作用，但不能平衡和热化。我希望我的 研究将有助于更好地理解霍金最近的建议 关于湍流在黑洞信息悖论中的作用。 3)弦论中的暴胀和宇宙起源 完善我在1989年研究的弦论中的暴胀模型， 过去 这样做的动机是希望， 原始引力波的发现表明， 通货膨胀，可能有字符串通货膨胀的签名隐藏在 BICEP 2数据。

The focus of proposed research is understanding a broad class of dynamical phenomena in strongly coupled gauge theories and gravity. One the gauge theory side, I am interested in questions of preparations of non--equilibrium states; quantum quenches and subsequent thermalization; entropy production in dynamical evolution; local and non-local probes of thermalization; late--time behaviour of generic states in Quantum Field Theories. On the gravity side I am interested in gravitational collapse, specifically the conditions under which the event horizon is formed; does turbulence play a role in horizon formation? Additionally, I have a long--standing interest in constructing inflationary models in String Theory, and understanding the origin of the Universe. In this view, I was particularly excited by recent experiment announcement for the detection of the primordial gravitational waves. To make progress in any of these fundamental problems, they must be considered together: holographic correspondence of Maldacena provides a mapping between Quantum Field Theory and Gravitational problems. I believe that combining the intuition and previous research in these seemingly different sub-fields of theoretical physics would lead to further breakthroughs. It it natural to separate the project into three sub-themes: 1) From Thermodynamics to Hydrodynamics to Non--equilibrium Gauge Theory Plasma. Here I intend to continue development of program of holographic quantum quenches I have been actively involved with in the last 3 years. A major effort is related to designing novel numerical codes that would be able to address the dynamics of quenching systems without homogeneity and isotropy assumptions. I hope to shed light on definition of entropy far -from- equilibrium, describe in details various local and non--local probes of non--equilibrium dynamics. I plan to perform simulations of ``collisions'' in realistic (confining) models of holographic gauge/string correspondence. The results should be of interest to researchers involved in experimental heavy -ion programs at RHIC and LHC. 2) Gravitational Collapse, Horizon Formation and Turbulence. Here, I continue to further my program of gravitational collapse in asymptotically AdS. The main fundamental question I hope to answer relates to constraints on states in strongly coupled systems that, despite interactions, fail to equilibrate and thermalize. I hope my research would help better understand recent Hawking suggestion concerning the role of turbulence in Black Hole information paradox. 3) Inflation and Origin of the Universe in String Theory I intend to refine the models of Inflation in String Theory that I worked on in the past. The motivation for this is the hope that as the potential discovery of primordial gravitation waves suggests the high scale of inflation, there might be signatures of String Inflation hidden in BICEP 2 data.